On multi-particle functions and pion-decay constant in Nambu--Jona-Lasinio model
| dc.creator | Rochev, V. E. | |
| dc.date | 2006-10-29 | |
| dc.date.accessioned | 2026-07-07T07:28:19Z | |
| dc.date.available | 2026-07-07T07:28:19Z | |
| dc.description | The system of second-order equations of mean-field expansion is considered for Nambu--Jona-Lasinio model with chiral symmetry of SU(2)-group. The system includes equations for four-particle and three-particle functions and also equations for next-to-leading two-particle function and next-to-next-to-leading quark propagator. Exact solutions for four-particle and three-particle equations are obtained. The solution for four-particle function is a disconnected combination of the leading-order two-particle functions. The connected part of three-particle function includes two-meson and three-meson contributions. The solution of three-particle equation permits to close the equation for next-to-leading two-particle function and to calculate a correction to pion-decay constant $f_π$. This correction increases from 14% to 28% when values of quark condensate varies from $-(210 MeV)^3$ to $-(250 MeV)^3$. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0610392 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0610392 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117690 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | On multi-particle functions and pion-decay constant in Nambu--Jona-Lasinio model | |
| dc.type | text |